Search & Filtering
Given the following information, construct the rejection region. Show the solution in
a step-by-step procedure.
H 0 : = 45
H a : < 45
= 40, = 12, n = 32, = 0.01
Decompose (x^2+x+1)/((x+3)(x^2-x+1))
Show that every group of order 5*7*47 is abelian and cyclic.
What is the largest three digit number that you can make if you use 20 stripes?
II. Determine if one-tailed test or two-tailed test fits the given alternative hypothesis.
1. The mean height of Grade 12 students is less than 66 inches.
Answer: ___________________________
2. The standard deviation of their height is not equal to 5 inches.
Answer: ___________________________
3. Male Grade 7 and Grade 12 students differ in height on average.
Answer: ___________________________
4. The proportion of senior male students’ height is significantly higher than the senior female students.
Answer: ___________________________
5. The average grade of Grade 11 students in Statistics is lower than their average grade in Calculus.
Answer: ___________________________
I. State the null and alternative hypothesis for each statement.
1. A light bulb manufacturer claims that the mean life of a certain type of light bulb is more than 750 hours.
H0: _____
Ha: _____
2. A study claims that the mean survival time for certain cancer patients treated immediately with chemotherapy and radiation is 24 months.
H0: _____
Ha: _____
3. A medical trial is conducted to test whether or not a new medicine reduces uric acid by 50%.
H0: _____
Ha: _____
4. We want to test whether the general average of students in Math is different from 80%.
H0: _____
Ha: _____
5. We want to test whether the mean height of Grade 8 students is 58 inches.
H0: _____
Ha: _____
Determine the area of the region bounded by x = y²-y-6 and x = 2y +4.
Determine the area of the region bounded by x = y²-y-6 and x = 2y +4.
Determine the area to the left of g(y) = 3-y2 and to the right of x = -1
Find the area of f(x) = 3+2x-x² above the x-axis.
